 where the last equation is followed by using some algebraic manipulations.

It follows, in particular, in the example of the voting methods of combining classifiers [1]}, from the PAC-bound in (REF ), we achieve the following bound
\(P\lbrace \tilde{f}\le 0\rbrace &\le \inf _{\delta \in (0,1]}\bigg [P_n\lbrace \tilde{f}\le \delta \rbrace + \frac{8 C}{\delta } \sqrt{\frac{V(\mathcal {H})}{n}}+ A_{n,t_{\alpha }+\sqrt{\frac{128 e}{1-\lambda }\log \log _2 2\delta ^{-1}}}\nonumber \\&\qquad \qquad \qquad \qquad +\frac{2M}{\sqrt{n}}\bigg (t_{\alpha }+\sqrt{\frac{128e}{1-\lambda }\log \log _2 2\delta ^{-1}}\bigg )\bigg ]\) 
